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Finding the Fourth Proportional to 213.84, 319.95 and 193.59

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Solution

The fourth proportional to 213.84, 319.95 and 193.59 is: 289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.84 : 319.95 = 193.59 : x
  2. Step 2: Convert to fraction form
    213.84/319.95 = 193.59/x
  3. Step 3: Cross multiply
    213.84x = 319.95 × 193.59
  4. Step 4: Simplify right side
    213.84x = 61,939.12
  5. Step 5: Solve for x
    x = 61,939.12/213.84
  6. Step 6: Final answer
    x = 289.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.